de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-1 to 3 of (2x+3-x^2)

Lösung

\int_{- 1}^{3} (2 x + 3 - x^{2}) d x

Lösung

\frac{32}{3}

+1

Dezimale

10.66666 \dots

Schritte zur Lösung

\int_{- 1}^{3} 2 x + 3 - x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{3} 2 x d x + \int_{- 1}^{3} 3 d x - \int_{- 1}^{3} x^{2} d x

\int_{- 1}^{3} 2 x d x = 8

\int_{- 1}^{3} 3 d x = 12

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

= 8 + 12 - \frac{28}{3}

Vereinfache

8 + 12 - \frac{28}{3} : \frac{32}{3}

= \frac{32}{3}

Graph

Beliebte Beispiele

integral from 3 to infinity of 2/(x^3)

\int_{3}^{\infty} \frac{2}{x ^{3}} d x

integral from-1 to 1 of x|x|

\int_{- 1}^{1} x ∣ x ∣ d x

integral from 0 to 2pi of x^2

\int_{0}^{2 π} x^{2} d x

integral from 0 to 2 of g(x)

\int_{0}^{2} g (x) d x

integral from-1 to 2 of x^2+2

\int_{- 1}^{2} x^{2} + 2 d x